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Finding the Fourth Proportional to 12,176.64, 16,804.80 and 10,183.68

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Solution

The fourth proportional to 12,176.64, 16,804.80 and 10,183.68 is: 14,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.64 : 16,804.80 = 10,183.68 : x
  2. Step 2: Convert to fraction form
    12,176.64/16,804.80 = 10,183.68/x
  3. Step 3: Cross multiply
    12,176.64x = 16,804.80 × 10,183.68
  4. Step 4: Simplify right side
    12,176.64x = 171,134,705.66
  5. Step 5: Solve for x
    x = 171,134,705.66/12,176.64
  6. Step 6: Final answer
    x = 14,054.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.